A note on series of hyperbolic functions

By means of an elementary re-summation any convergent hyperbolic series can be associated with one of more `alleles', i.e. similar series which has the same value. A number of examples are treated here, most of which stem from Fourier series for elliptic functions introduced by K. Jacobi.

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Publication Details

Journal
REVISTAS
Published
2024-10-11
DOI
https://doi.org/10.71712/a87d-v738
Primary Topic
Wheat and Barley Genetics and Pathology
Type
article
Field-Weighted Citation Impact
0.00
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article

A note on series of hyperbolic functions

REVISTAS
Wheat and Barley Genetics and Pathology
article

A note on series of hyperbolic functions

article en

Abstract

By means of an elementary re-summation any convergent hyperbolic series can be associated with one of more `alleles', i.e. similar series which has the same value. A number of examples are treated here, most of which stem from Fourier series for elliptic functions introduced by K. Jacobi.

REVISTAS
Clarkson University (US)
Openalex Percentile: Top 41%
Wheat and Barley Genetics and Pathology
DOIOpen Access PDFOpenAlex
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A note on series of hyperbolic functions · REVISTAS (2024) | TGRS Research Map | TGRS